/* * Linux/PA-RISC Project (http://www.parisc-linux.org/) * * Floating-point emulation code * Copyright (C) 2001 Hewlett-Packard (Paul Bame) * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 2, or (at your option) * any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ /* * BEGIN_DESC * * File: * @(#) pa/spmath/dfsqrt.c $Revision: 1.1 $ * * Purpose: * Double Floating-point Square Root * * External Interfaces: * dbl_fsqrt(srcptr,nullptr,dstptr,status) * * Internal Interfaces: * * Theory: * <> * * END_DESC */ #include "float.h" #include "dbl_float.h" /* * Double Floating-point Square Root */ /*ARGSUSED*/ unsigned int dbl_fsqrt( dbl_floating_point *srcptr, unsigned int *nullptr, dbl_floating_point *dstptr, unsigned int *status) { register unsigned int srcp1, srcp2, resultp1, resultp2; register unsigned int newbitp1, newbitp2, sump1, sump2; register int src_exponent; register boolean guardbit = FALSE, even_exponent; Dbl_copyfromptr(srcptr,srcp1,srcp2); /* * check source operand for NaN or infinity */ if ((src_exponent = Dbl_exponent(srcp1)) == DBL_INFINITY_EXPONENT) { /* * is signaling NaN? */ if (Dbl_isone_signaling(srcp1)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Dbl_set_quiet(srcp1); } /* * Return quiet NaN or positive infinity. * Fall thru to negative test if negative infinity. */ if (Dbl_iszero_sign(srcp1) || Dbl_isnotzero_mantissa(srcp1,srcp2)) { Dbl_copytoptr(srcp1,srcp2,dstptr); return(NOEXCEPTION); } } /* * check for zero source operand */ if (Dbl_iszero_exponentmantissa(srcp1,srcp2)) { Dbl_copytoptr(srcp1,srcp2,dstptr); return(NOEXCEPTION); } /* * check for negative source operand */ if (Dbl_isone_sign(srcp1)) { /* trap if INVALIDTRAP enabled */ if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); /* make NaN quiet */ Set_invalidflag(); Dbl_makequietnan(srcp1,srcp2); Dbl_copytoptr(srcp1,srcp2,dstptr); return(NOEXCEPTION); } /* * Generate result */ if (src_exponent > 0) { even_exponent = Dbl_hidden(srcp1); Dbl_clear_signexponent_set_hidden(srcp1); } else { /* normalize operand */ Dbl_clear_signexponent(srcp1); src_exponent++; Dbl_normalize(srcp1,srcp2,src_exponent); even_exponent = src_exponent & 1; } if (even_exponent) { /* exponent is even */ /* Add comment here. Explain why odd exponent needs correction */ Dbl_leftshiftby1(srcp1,srcp2); } /* * Add comment here. Explain following algorithm. * * Trust me, it works. * */ Dbl_setzero(resultp1,resultp2); Dbl_allp1(newbitp1) = 1 << (DBL_P - 32); Dbl_setzero_mantissap2(newbitp2); while (Dbl_isnotzero(newbitp1,newbitp2) && Dbl_isnotzero(srcp1,srcp2)) { Dbl_addition(resultp1,resultp2,newbitp1,newbitp2,sump1,sump2); if(Dbl_isnotgreaterthan(sump1,sump2,srcp1,srcp2)) { Dbl_leftshiftby1(newbitp1,newbitp2); /* update result */ Dbl_addition(resultp1,resultp2,newbitp1,newbitp2, resultp1,resultp2); Dbl_subtract(srcp1,srcp2,sump1,sump2,srcp1,srcp2); Dbl_rightshiftby2(newbitp1,newbitp2); } else { Dbl_rightshiftby1(newbitp1,newbitp2); } Dbl_leftshiftby1(srcp1,srcp2); } /* correct exponent for pre-shift */ if (even_exponent) { Dbl_rightshiftby1(resultp1,resultp2); } /* check for inexact */ if (Dbl_isnotzero(srcp1,srcp2)) { if (!even_exponent && Dbl_islessthan(resultp1,resultp2,srcp1,srcp2)) { Dbl_increment(resultp1,resultp2); } guardbit = Dbl_lowmantissap2(resultp2); Dbl_rightshiftby1(resultp1,resultp2); /* now round result */ switch (Rounding_mode()) { case ROUNDPLUS: Dbl_increment(resultp1,resultp2); break; case ROUNDNEAREST: /* stickybit is always true, so guardbit * is enough to determine rounding */ if (guardbit) { Dbl_increment(resultp1,resultp2); } break; } /* increment result exponent by 1 if mantissa overflowed */ if (Dbl_isone_hiddenoverflow(resultp1)) src_exponent+=2; if (Is_inexacttrap_enabled()) { Dbl_set_exponent(resultp1, ((src_exponent-DBL_BIAS)>>1)+DBL_BIAS); Dbl_copytoptr(resultp1,resultp2,dstptr); return(INEXACTEXCEPTION); } else Set_inexactflag(); } else { Dbl_rightshiftby1(resultp1,resultp2); } Dbl_set_exponent(resultp1,((src_exponent-DBL_BIAS)>>1)+DBL_BIAS); Dbl_copytoptr(resultp1,resultp2,dstptr); return(NOEXCEPTION); }